[{"type":"thinking","thinking":"Yes, that's verbatim from D-004-prime-side-reproduction.md lines 9–18. The user asked \"Are text in the derivation files look like this...?\" — confirm yes, that's the actual style, and it's from D-004. I should confirm and briefly describe the style conventions.","signature":""},{"type":"text","text":"Yes — that's verbatim from `research/derivations/D-004-prime-side-reproduction.md:9-18` (Phase 0.2, the line-by-line reproduction of the Anthropic paper's prime side).\n\nThat excerpt shows the house style of the derivation files:\n\n- **Unicode math inline** (`ϕ̂`, `Φ`, `⋆`, `≪`, `⟹`, subscripts) rather than LaTeX — plain Markdown, ASCII-adjacent.\n- **Checkmarks (`✔`)** mark facts verified during reproduction.\n- **Equation numbers from the source paper** kept as anchors: `sandwich (5.2)`, `Decay envelope (5.3)`, `(5.4)` — those are the paper's §5 numbers.\n- **Bracketed structural notes** like `[Structure: L¹-norm ≪ log L is the source of the log log T...]` flag *why* a step matters for the larger chain.\n- **Honesty tags** on claims (`[PROVED]`, `[NUMERICAL-VALIDATED]`, etc.) per §8.2 of NGUYEN.md.\n\nOne caveat: D-001–D-008 are the densest/most telegraphic (Phase 0 speed). Later files (D-026 onward) are fuller — more prose, explicit proof skeletons, errata sections — since they carry original results that fed the paper."}]